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Finding the Third Proportional to 5,289,534 and 7,856,532

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Solution

The third proportional to 5,289,534 and 7,856,532 is: 11,669,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289,534 : 7,856,532 = 7,856,532 : x
  2. Step 2: Convert to fraction form
    5,289,534/7,856,532 = 7,856,532/x
  3. Step 3: Cross multiply
    5,289,534x = 7,856,532 × 7,856,532
  4. Step 4: Simplify right side
    5,289,534x = 61,725,095,067,024
  5. Step 5: Solve for x
    x = 61,725,095,067,024/5,289,534
  6. Step 6: Final answer
    x = 11,669,287.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.